135334160 has 80 divisors (see below), whose sum is σ = 348113136. Its totient is φ = 48605184.

The previous prime is 135334159. The next prime is 135334163. The reversal of 135334160 is 61433531.

It can be written as a sum of positive squares in 8 ways, for example, as 8456464 + 126877696 = 2908^2 + 11264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (135334163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36722 + ... + 40238.

Almost surely, 2^135334160 is an apocalyptic number.

135334160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174056568).

135334160 is an abundant number, since it is smaller than the sum of its proper divisors (212778976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135334160 is a wasteful number, since it uses less digits than its factorization.

135334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 135334160 is about 11633.3211079210. The cubic root of 135334160 is about 513.4156986331.

Adding to 135334160 its reverse (61433531), we get a palindrome (196767691).

The spelling of 135334160 in words is "one hundred thirty-five million, three hundred thirty-four thousand, one hundred sixty".